Geo '21-'22 Unit 2C Review

Triangle GHJ with vertices G(-2, 4), H(3, 6), and J(3, -2) is dilated by a factor of  $\frac{1}{4}$   centered at the origin. What are the coordinates of G' after the dilation?

•  $\left(-\frac{1}{2},1\right)$  

•  $\left(-\frac{1}{2},4\right)$  

•  $\left(4,-2\right)$  

•  $\left(\frac{1}{2},-1\right)$  

Tags

CCSS.8.G.A.3

Polygon MNPQ is shown on the coordinate plane. A dilation centered about the origin will be performed on the polygon.

The location of the vertex M after the dilation is (-8, 6). What is the location of vertex Q after the dilation?

• (4, -4)

• (-4, -4)

• (-2, 2)

• (0, 4)

Tags

CCSS.HSG.CO.A.2

Lloyd is standing near a power line pole as shown in the figure. When his head touches the support wire, he is  $2\frac{1}{2}$   feet from where the wire meets the ground. 

If the power line pole is 17 feet tall, how tall is Lloyd?

• 4 feet

• 5 feet

• 6 feet

• 6 feet 1 inch

Tags

CCSS.HSG.SRT.C.8

Joey built a model sailboat that is similar to his real sailboat. The triangular sail on his real boat has a base of 25 feet. If the height of the sail on his model boat is 12 inches and the base is 24 inches, what is the height of the sail on his real boat?

• 50 feet

• 20 feet

• 12 $\frac{1}{2}$ feet

• 12 $\frac{3}{4}$ feet

Tags

CCSS.7.G.A.1

Triangle PQR is similar to triangle EDC.

What is the length of side CD?

• 7.5 inches

• 9.5 inches

• 70 inches

• 78 inches

Tags

CCSS.HSG.SRT.A.2

In the coordinate plane, line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 4 with center (0, 3). What are the slope and y-intercept of line r?

• Line r has slope 5 and y-intercept (0, -11).

• Line r has slope 8 and y-intercept (0, -5).

• Line r has slope 8 and y-intercept (0, 11).

• Line r has slope 11 and y-intercept (0, 11).

• The center of dilation is at (4,3).

• The center of dilation is at (0, 0).

• The center of dilation is at (-1, 3).

• The scale factor is $\frac{1}{2}$ .

• The scale factor is 2.

Tags

CCSS.8.G.A.3

Part A: Paul said that ΔABC was dilated by a scale factor of 1.5 centered at the origin. Is Paul CORRECT? Explain your answer or show your work.

Tags

CCSS.HSG.CO.A.2

Part B: Are the two triangles similar? Explain.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

In triangle ABC, angle A is 45⁰ and angle B is 50⁰.

I. Triangle DEG where angle D is 45⁰ and angle E is 85⁰.

II. Triangle GHI where angle G is 50⁰ and angle I is 85⁰.

III. Triangle JKL where angle J is 50⁰ and angle L is 130⁰.

IV. Triangle MNO where angle N is 45⁰ and angle O is 60⁰.

V. Triangle PQR where angle Q is 45⁰ and angle R is 50⁰.

Which triangles are similar to triangle ABC?

• I, II and V only

• I, II, and IV only

• I, III, and IV only

• III and IV only

Tags

CCSS.HSG.SRT.A.2